1973968431840 has 576 divisors, whose sum is σ = 7606966348800. Its totient is φ = 481485441024.

The previous prime is 1973968431823. The next prime is 1973968431857. The reversal of 1973968431840 is 481348693791.

1973968431840 is a `hidden beast` number, since 1 + 9 + 73 + 96 + 8 + 431 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1973968431823) and next prime (1973968431857).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21376809 + ... + 21468951.

It is an arithmetic number, because the mean of its divisors is an integer number (13206538800).

Almost surely, 2^{1973968431840} is an apocalyptic number.

1973968431840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973968431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803483174400).

1973968431840 is an abundant number, since it is smaller than the sum of its proper divisors (5632997916960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1973968431840 is a wasteful number, since it uses less digits than its factorization.

1973968431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92221 (or 92201 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1973968431840 in words is "one trillion, nine hundred seventy-three billion, nine hundred sixty-eight million, four hundred thirty-one thousand, eight hundred forty".